28889602560 has 800 divisors, whose sum is σ = 127435093632. Its totient is φ = 6091407360.

The previous prime is 28889602559. The next prime is 28889602631. The reversal of 28889602560 is 6520698882.

28889602560 is a `hidden beast` number, since 28 + 8 + 8 + 9 + 602 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28889602497 and 28889602506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18868995 + ... + 18870525.

Almost surely, 2^28889602560 is an apocalyptic number.

28889602560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28889602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63717546816).

28889602560 is an abundant number, since it is smaller than the sum of its proper divisors (98545491072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28889602560 is a wasteful number, since it uses less digits than its factorization.

28889602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 28889602560 in words is "twenty-eight billion, eight hundred eighty-nine million, six hundred two thousand, five hundred sixty".